The two-point correlation function has been the workhorse of modern cosmology for many decades. However, in reducing massive galaxy catalogs to ~10 data points, two-point functions discard a large amount of information present in the galaxy distribution. I will describe in this pedagogical talk how higher-order statistics, including three-point correlation functions, can recover some of this information, and break degeneracies that occur in cosmological inferences based on two-point functions alone. Though computationally intensive, higher-order statistics will be crucial to squeezing the maximum amount of information from future galaxy surveys like LSST.